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Simplifying -6(7 + 7x) = 38 + -2x (7 * -6 + 7x * -6) = 38 + -2x (-42 + -42x) = 38 + -2x Solving -42 + -42x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -42 + -42x + 2x = 38 + -2x + 2x Combine like terms: -42x + 2x = -40x -42 + -40x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + -40x = 38 + 0 -42 + -40x = 38 Add '42' to each side of the equation. -42 + 42 + -40x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + -40x = 38 + 42 -40x = 38 + 42 Combine like terms: 38 + 42 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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